Open heavy-flavour production in p--Pb collisions measured with ALICE at the LHC

Heavy quarks (charm and beauty) are valuable probes for the study of the properties of the Quark-Gluon Plasma formed in high energy Pb--Pb collisions, since they are produced in hard scattering processes in the initial stages of the collision. In p--Pb collisions the production of open heavy flavour can be influenced by Cold Nuclear Matter effects (CNM), such as shadowing, $k_T$ broadening and initial-state energy loss. Studies of the effects on the heavy flavour production in p--Pb, in comparison to that in Pb--Pb collisions, makes it possible to distinguish between cold- and hot-nuclear matter effects.\\ The open heavy-flavour production is measured in ALICE at the LHC at mid-rapidity via D-meson reconstruction in hadronic decay channels and electrons from heavy-flavour hadron decays, and at forward rapidity via muons from heavy-flavour hadron decays. In this contribution, we present recent measurements on heavy flavour production from p--Pb collisions at $\sqrt{s_{\rm{NN}}}=$5.02 TeV collected during Run I and Run II of the LHC. Focussing in particular on the D-meson production cross-section and nuclear modification factor, heavy flavour electron and muon results and possible angular correlations, compared to theoretical model predictions.